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When passing through glass, a light ray is refracted (bent) such that the angle of refraction $r$ is given by $r=\sin ^{-1}[(\sin i) / \mu] .$ Here, $i$ is the angle of incidence, and $\mu$ is the index of refraction of the glass (see Fig. 27.9 ). For different types of glass, $\mu$ differs. Find the expression for $d r$ for a constant value of $i.$

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Salamat A.

Calculus 1 / AB

Chapter 27

Differentiation of Transcendental Functions

Section 3

Derivatives of the Inverse Trigonometric Functions

Derivatives

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a beam of light both reflects and refracts at the same surface between air and glass is shown in the figure in your textbook if the index of refraction of the glass is in is and some G. Find the angle of incidents in the air that would result in the reflected ray and the refracted ray being perpendicular to each other. Okay, so first we're starting with snails long where N. One is equal to one because it's air. So you get a sign of data one equals and GT sign of data order Which is equal to censor, perpendicular sign of 90 -30 to 1. And they give you that. That is equal to co sign services. N. G. Co sign I need a one And you have signed a fatal one dividing by co sign of fatal on both sides. You get tangent of fatal. One is equal to and GT So data one is equal to the inverse tangent of N. G.

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